Question

graphing functions

1. $y = -2x + 5$

x	y
0
1
3
5

(and a coordinate grid)

Explanation:

Step1: Substitute \( x = 0 \) into \( y=-2x + 5 \)

Substitute \( x = 0 \) into the equation \( y=-2x + 5 \). We get \( y=-2(0)+5=5 \).

Step2: Substitute \( x = 1 \) into \( y=-2x + 5 \)

Substitute \( x = 1 \) into the equation \( y=-2x + 5 \). We get \( y=-2(1)+5 = 3 \).

Step3: Substitute \( x = 3 \) into \( y=-2x + 5 \)

Substitute \( x = 3 \) into the equation \( y=-2x + 5 \). We get \( y=-2(3)+5=-1 \).

Step4: Substitute \( x = 5 \) into \( y=-2x + 5 \)

Substitute \( x = 5 \) into the equation \( y=-2x + 5 \). We get \( y=-2(5)+5=-5 \).

To graph the function \( y = - 2x+5 \), we can use the points we found: \( (0,5) \), \( (1,3) \), \( (3,-1) \), \( (5,-5) \). Plot these points on the coordinate plane and draw a straight line through them.

Answer:

The completed table is:

\( x \)	\( y \)
\( 1 \)	\( 3 \)
\( 3 \)	\( -1 \)
\( 5 \)	\( -5 \)

The graph is a straight line passing through the points \( (0,5) \), \( (1,3) \), \( (3,-1) \), \( (5,-5) \) (plotted on the given coordinate grid and connected).